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Assertion (A) & Reason (B) MCQ

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50 questions · timed · auto-graded

MCQ 11 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion (A): Seven times a number is $42.$ This statement in the form of an equation is $7x = 42.$
Reason (R): Standard form for linear equation in one variable is $ax + b = 0.$ where $x$ is variable and $a, b$ are arbitrary constants
  • A
    Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
  • Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
  • C
    $A$ is true but $R$ is false
  • D
    $A$ is false but $R$ is true
Answer
Correct option: B.
Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
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MCQ 21 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion (A): A number when divided by $5$ gives $6.$ This statement in the form of an equation is $5x = 6.$
Reason (R): Standard form for linear equation in one variable is $ax + b = 0.$ where $x$ is variable and $a, b$ are arbitrary constants
  • A
    Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
  • B
    Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
  • C
    $A$ is true but $R$ is false
  • $A$ is false but $R$ is true
Answer
Correct option: D.
$A$ is false but $R$ is true
$A$ is false but $R$ is true
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MCQ 31 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion (A): The largest number of the three consecutive numbers is $x + 1.$ Then, the smallest number is $x - 1.$
Reason (R): The value of the variable which makes left hand side equal to right hand side in the given equation is called the solution or the root of the equation
  • A
    Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
  • Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
  • C
    $A$ is true but $R$ is false
  • D
    $A$ is false but $R$ is true
Answer
Correct option: B.
Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
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MCQ 41 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion (A): If $6$ is added to $3$ times of a number, it becomes $15.$ This statement in the form of an equation is $3x + 6 = 15.$
Reason (R): the linear equation involves only one unknown, it is called “univariate”. The quadratic equation contains only powers of $x$ that are non-negative
  • A
    Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
  • B
    Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
  • $A$ is true but $R$ is false
  • D
    $A$ is false but $R$ is true
Answer
Correct option: C.
$A$ is true but $R$ is false
$A$ is true but $R$ is false
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MCQ 51 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion (A): The root of the equation $\frac{7\text{x}}{3} = {3}$ is $\frac{5\text{x}}{3}$
Reason (R): The value of the variable which makes left hand side equal to right hand side in the given equation is called the solution or the root of the equation
  • Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
  • B
    Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
  • C
    $A$ is true but $R$ is false
  • D
    $A$ is false but $R$ is true
Answer
Correct option: A.
Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
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MCQ 61 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion (A): The root of the equation $x - 8 = 2$ is $12$
Reason (R): The value of the variable which makes left hand side equal to right hand side in the given equation is called the solution or the root of the equation
  • A
    Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
  • B
    Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
  • C
    $A$ is true but $R$ is false
  • $A$ is false but $R$ is true
Answer
Correct option: D.
$A$ is false but $R$ is true
$A$ is false but $R$ is true
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MCQ 71 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion (A): $x$ is an odd number. The largest odd number preceding $x$ is $x - 2.$
Reason (R): Numbers which follow each other in order, without gaps, from smallest to largest. $12, 13, 14$ and $15$ are consecutive numbers
  • A
    Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
  • Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
  • C
    $A$ is true but $R$ is false
  • D
    $A$ is false but $R$ is true
Answer
Correct option: B.
Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
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MCQ 81 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion (A): If $15$ is subtracted from a number, it becomes $-5.$ This statement in the form of an equation is $x - 15 = 5$
Reason (R): Standard form for linear equation in one variable is $ax + b = 0.$ where $x$ is variable and $a, b$ are arbitrary constants
  • A
    Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
  • B
    Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
  • C
    $A$ is true but $R$ is false
  • $A$ is false but $R$ is true
Answer
Correct option: D.
$A$ is false but $R$ is true
$A$ is false but $R$ is true
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MCQ 91 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion (A): The degree of the equation $x^2- 2x + 1 = x^2- 3$ is 2
Reason (R): Standard form for linear equation in one variable is $ax + b = 0.$ where $x$ is variable and $a, b$ are arbitrary constants
  • A
    Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
  • B
    Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
  • C
    $A$ is true but $R$ is false
  • $A$ is false but $R$ is true
Answer
Correct option: D.
$A$ is false but $R$ is true
$A$ is false but $R$ is true
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MCQ 101 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion (A): The root of the equation $5x - 8 = 7$ is $3$
Reason (R): The value of the variable which makes left hand side equal to right hand side in the given equation is called the solution or the root of the equation
  • Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
  • B
    Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
  • C
    $A$ is true but $R$ is false
  • D
    $A$ is false but $R$ is true
Answer
Correct option: A.
Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
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MCQ 111 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion (A): if $9$ is added to a number, it becomes $25.$ This statement in the form of an equation is $x + 9 = 25.$
Reason (R): Standard form for linear equation in one variable is $ax + b = 0.$ where x is variable and $a, b$ are arbitrary constants
  • A
    Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
  • Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
  • C
    $A$ is true but $R$ is false
  • D
    $A$ is false but $R$ is true
Answer
Correct option: B.
Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
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MCQ 121 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion (A): The root of the equation $3x + 8 = 14$
Reason (R): The value of the variable which makes left hand side equal to right hand side in the given equation is called the solution or the root of the equation
  • Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
  • B
    Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
  • C
    $A$ is true but $R$ is false
  • D
    $A$ is false but $R$ is true
Answer
Correct option: A.
Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
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MCQ 131 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion (A): The root of the equation $2y = 5 (3 + y)$ is $-5$
Reason (R): The value of the variable which makes left hand side equal to right hand side in the given equation is called the solution or the root of the equation
  • Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
  • B
    Both $ A$ and $R$ are true but $R$ is not the correct explanation of $A$
  • C
    $A$ is true but $R$ is false
  • D
    $A$ is false but $R$ is true
Answer
Correct option: A.
Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
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MCQ 141 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion (A): In a two digit number, the unit’s digit is $x$ and the ten’s digit is $y.$ Then, the number is $10y + x.$
Reason (R): Numbers which follow each other in order, without gaps, from smallest to largest. $12, 13, 14$ and $15$ are consecutive numbers
  • A
    Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
  • Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
  • C
    $A$ is true but $R$ is false
  • D
    $A$ is false but $R$ is true
Answer
Correct option: B.
Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
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MCQ 151 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion (A): The root of the equation $\frac{5\text{x}}{3}= 30$ is $18$
Reason (R): The value of the variable which makes left hand side equal to right hand side in the given equation is called the solution or the root of the equation
  • Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
  • B
    Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
  • C
    $A$ is true but $R$ is false
  • D
    $A$ is false but $R$ is true
Answer
Correct option: A.
Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
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MCQ 161 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion (A): The solution of the equation $\frac{5}{\text{x}} = 2$ is $\frac{2}{5}$
Reason (R): The value of the variable which makes left hand side equal to right hand side in the given equation is called the solution or the root of the equation
  • A
    Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
  • B
    Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
  • C
    $A$ is true but $R$ is false
  • $A$ is false but $R$ is true
Answer
Correct option: D.
$A$ is false but $R$ is true
$A$ is false but $R$ is true
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MCQ 171 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion (A): The root of the equation $2x + 3 = 2(x - 4)$ is does not exist.
Reason (R): The value of the variable which makes left hand side equal to right hand side in the given equation is called the solution or the root of the equation
  • Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
  • B
    Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
  • C
    $A$ is true but $R$ is false
  • D
    $A$ is false but $R$ is true
Answer
Correct option: A.
Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
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MCQ 181 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion (A): The root of the equation $3y + 4 = 5y - 4$ is $2$
Reason (R): The value of the variable which makes left hand side equal to right hand side in the given equation is called the solution or the root of the equation
  • A
    Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
  • B
    Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
  • C
    $A$ is true but $R$ is false
  • $A$ is false but $R$ is true
Answer
Correct option: D.
$A$ is false but $R$ is true
$A$ is false but $R$ is true
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MCQ 191 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion (A): The root of the equation $3\text{x} = \frac{20}{7}$ -x is $\frac{7}{5}$
Reason (R): The value of the variable which makes left hand side equal to right hand side in the given equation is called the solution or the root of the equation
  • A
    Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
  • B
    Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
  • C
    $A$ is true but $R$ is false
  • $A$ is false but $R$ is true
Answer
Correct option: D.
$A$ is false but $R$ is true
A is false but $R$ is true
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MCQ 201 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion (A): The linear equation in one variable $x,$ is $\frac{\text{x}}{2}+\frac{\text{x}}{3}+\frac{1}{4}$
Reason (R): Standard form for linear equation in one variable is $ax + b = 0$. where $x$ is variable and a, b are arbitrary constants
  • Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
  • B
    Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
  • C
    $A$ is true but $R$ is false
  • D
    $A$ is false but $R$ is true
Answer
Correct option: A.
Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
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MCQ 211 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion (A): The root of the equation $x + 3 = 5$ is $2$
Reason (R): The value of the variable which makes left hand side equal to right hand side in the given equation is called the solution or the root of the equation
  • Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
  • B
    Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
  • C
    $A$ is true but $R$ is false
  • D
    $A$ is false but $R$ is true
Answer
Correct option: A.
Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
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MCQ 221 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion (A): The standard form of a linear equation in one variable $x$ is $ax + b = 0$
Reason (R): Standard form for linear equation in one variable is $ax + b = 0.$ where $x$ is variable and $a, b$ are arbitrary constants
  • Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
  • B
    Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
  • C
    $A$ is true but $R$ is false
  • D
    $A$ is false but $R$ is true
Answer
Correct option: A.
Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
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MCQ 231 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion (A): The root of the equation $14 - x = 8$ is $7$
Reason (R): The value of the variable which makes left hand side equal to right hand side in the given equation is called the solution or the root of the equation
  • A
    Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
  • B
    Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
  • C
    $A$ is true but $R$ is false
  • $A$ is false but $R$ is true
Answer
Correct option: D.
$A$ is false but $R$ is true
$A$ is false but $R$ is true
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MCQ 241 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion (A): The root of the equation $\frac{\text{y}}{3}-7 = {11}$ is $-54$
Reason (R): The value of the variable which makes left hand side equal to right hand side in the given equation is called the solution or the root of the equation
  • A
    Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
  • B
    Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
  • C
    $A$ is true but $R$ is false
  • $A$ is false but $R$ is true
Answer
Correct option: D.
$A$ is false but $R$ is true
$A$ is false but $R$ is true
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MCQ 251 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion (A): If $x$ is an even number then the consecutive even number is $x + 2.$
Reason (R): Numbers which follow each other in order, without gaps, from smallest to largest. $12, 13, 14$ and $15$ are consecutive numbers
  • Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
  • B
    Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
  • C
    $A$ is true but $R$ is false
  • D
    $A$ is false but $R$ is true
Answer
Correct option: A.
Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
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MCQ 261 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion (A): The root of the equation $z + 4 = -8$ is $-32$
Reason (R): the linear equation involves only one unknown, it is called “univariate”. The quadratic equation contains only powers of $x$ that are non-negative
  • A
    Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
  • B
    Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
  • $A$ is true but $R$ is false
  • D
    $A$ is false but $R$ is true
Answer
Correct option: C.
$A$ is true but $R$ is false
$A$ is true but $R$ is false
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MCQ 271 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion (A): On subtracting 30 from two times a number, we get 56. This statement in the form of an equation is $2x - 30 = 56$
Reason (R): the linear equation involves only one unknown, it is called “univariate”. The quadratic equation contains only powers of $x$ that are non-negative
  • A
    Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
  • B
    Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
  • $A$ is true but $R$ is false
  • D
    $A$ is false but $R$ is true
Answer
Correct option: C.
$A$ is true but $R$ is false
$A$ is true but $R$ is false
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MCQ 281 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion (A): The statement ‘on adding $10$ in a number, the number becomes $20’$ in the form of an equation is $x + 10 = 20.$
Reason (R): Standard form for linear equation in one variable is $ax + b = 0.$ where $x$ is variable and $a, b$ are arbitrary constants
  • A
    Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
  • Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
  • C
    $A$ is true but $R$ is false
  • D
    $A$ is false but $R$ is true
Answer
Correct option: B.
Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
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MCQ 291 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion (A): A number when subtracted from $40$ results into $15.$ This statement in the form of an equation is $40 - x = 15$
Reason (R): Standard form for linear equation in one variable is $ax + b = 0.$ where $x$ is variable and $a, b$ are arbitrary constants
  • A
    Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
  • Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
  • C
    $A$ is true but $R$ is false
  • D
    $A$ is false but $R$ is true
Answer
Correct option: B.
Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
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MCQ 301 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion (A): The difference of two numbers is $21.$ The larger number is $x.$ The smaller number is $x - 21.$
Reason (R): Numbers which follow each other in order, without gaps, from smallest to largest. $12, 13, 14$ and $15$ are consecutive numbers
  • A
    Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
  • Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
  • C
    $A$ is true but $R$ is false
  • D
    $A$ is false but $R$ is true
Answer
Correct option: B.
Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
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MCQ 311 Mark
Directions : In the following questions, the Assertions $(A)$ and Reason $(s)\ (R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion $(A) :$ The root of the equation $3x = \frac{20}{7} - x$ is $\frac{5}{7}$
Reason $(R) :$ The value of the variable which makes left hand side equal to right hand side in the given equation is called the solution or the root of the equation
  • Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
  • B
    Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
  • C
    $A$ is true but $R$ is false
  • D
    $A$ is false but $R$ is true
Answer
Correct option: A.
Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
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MCQ 321 Mark
Assertion (A):  The root of the equation 2y = 5 (3 + y) is -5
Reason (R): The value of the variable which makes left hand side equal to right hand side in the given equation is called the solution or the root of the equation.
  • Both A and R are true and R is the correct explanation of A
  • B
    Both A and R are true but R is not the correct explanation of A
  • C
    A is true but R is false
  • D
    A is false but R is true
Answer
Correct option: A.
Both A and R are true and R is the correct explanation of A
A
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MCQ 331 Mark
Assertion (A): The statement ‘on adding 10 in a number, the number becomes 20’ in the form of an equation is x + 10 = 20.
Reason (R): Standard form for linear equation in one variable is ax + b = 0. where x is variable and a, b are arbitrary constants.
  • A
    Both A and R are true and R is the correct explanation of A
  • Both A and R are true but R is not the correct explanation of A
  • C
    A is true but R is false
  • D
    A is false but R is true
Answer
Correct option: B.
Both A and R are true but R is not the correct explanation of A
B
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MCQ 341 Mark
Assertion (A): The standard form of a linear equation in one variable x is ax + b = 0
Reason (R): Standard form for linear equation in one variable is ax + b = 0. where x is variable and a, b are arbitrary constants.
  • Both A and R are true and R is the correct explanation of A
  • B
    Both A and R are true but R is not the correct explanation of A
  • C
    A is true but R is false
  • D
    A is false but R is true
Answer
Correct option: A.
Both A and R are true and R is the correct explanation of A
A
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MCQ 351 Mark
Assertion (A): The solution of the equation $\frac{5}{\text{x}}$ = 2 is $\frac{2}{5}$
Reason (R): The value of the variable which makes left hand side equal to right hand side in the given equation is called the solution or the root of the equation.
  • A
    Both A and R are true and R is the correct explanation of A
  • B
    Both A and R are true but R is not the correct explanation of A
  • C
    A is true but R is false
  • A is false but R is true
Answer
Correct option: D.
A is false but R is true
D
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MCQ 361 Mark
Assertion (A): The root of the equation x - 8 = 2 is 12
Reason (R): The value of the variable which makes left hand side equal to right hand side in the given equation is called the solution or the root of the equation.
  • A
    Both A and R are true and R is the correct explanation of A
  • B
    Both A and R are true but R is not the correct explanation of A
  • C
    A is true but R is false
  • A is false but R is true
Answer
Correct option: D.
A is false but R is true
D
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MCQ 371 Mark
Assertion (A): The root of the equation 5x - 8 = 7 is 3
Reason (R): The value of the variable which makes left hand side equal to right hand side in the given equation is called the solution or the root of the equation.
  • Both A and R are true and R is the correct explanation of A
  • B
    Both A and R are true but R is not the correct explanation of A
  • C
    A is true but R is false
  • D
    A is false but R is true
Answer
Correct option: A.
Both A and R are true and R is the correct explanation of A
A
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MCQ 381 Mark
Assertion (A): The root of the equation 3x = $\frac{20}{7} $ - x is $\frac{5}{7}$
Reason (R): The value of the variable which makes left hand side equal to right hand side in the given equation is called the solution or the root of the equation.
  • Both A and R are true and R is the correct explanation of A
  • B
    Both A and R are true but R is not the correct explanation of A
  • C
    A is true but R is false
  • D
    A is false but R is true
Answer
Correct option: A.
Both A and R are true and R is the correct explanation of A
A
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MCQ 391 Mark
Assertion (A): The root of the equation 3x + 8 = 14
Reason (R): The value of the variable which makes left hand side equal to right hand side in the given equation is called the solution or the root of the equation.
  • Both A and R are true and R is the correct explanation of A
  • B
    Both A and R are true but R is not the correct explanation of A
  • C
    A is true but R is false
  • D
    A is false but R is true
Answer
Correct option: A.
Both A and R are true and R is the correct explanation of A
A
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MCQ 401 Mark
Assertion (A): The linear equation in one variable x, is $\frac{\text{x}}{2}+\frac{\text{x}}{3}+\frac{1}{4}$
Reason (R): Standard form for linear equation in one variable is ax + b = 0. where x is variable and a, b are arbitrary constants.
  • Both A and R are true and R is the correct explanation of A
  • B
    Both A and R are true but R is not the correct explanation of A
  • C
    A is true but R is false
  • D
    A is false but R is true
Answer
Correct option: A.
Both A and R are true and R is the correct explanation of A
A
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MCQ 411 Mark
Assertion (A): The largest number of the three consecutive numbers is x + 1. Then, the smallest number is x - 1.
Reason (R): The value of the variable which makes left hand side equal to right hand side in the given equation is called the solution or the root of the equation.
  • A
    Both A and R are true and R is the correct explanation of A
  • Both A and R are true but R is not the correct explanation of A
  • C
    A is true but R is false
  • D
    A is false but R is true
Answer
Correct option: B.
Both A and R are true but R is not the correct explanation of A
B
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MCQ 421 Mark
Assertion (A): The difference of two numbers is 21. The larger number is x. The smaller number is x - 21.
Reason (R): Numbers which follow each other in order, without gaps, from smallest to largest. 12, 13, 14 and 15 are consecutive numbers.
  • A
    Both A and R are true and R is the correct explanation of A
  • Both A and R are true but R is not the correct explanation of A
  • C
    A is true but R is false
  • D
    A is false but R is true
Answer
Correct option: B.
Both A and R are true but R is not the correct explanation of A
B
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MCQ 431 Mark
Assertion (A): The degree of the equation x2 - 2x + 1 = x2 - 3 is 2
Reason (R): Standard form for linear equation in one variable is ax + b = 0. where x is variable and a, b are arbitrary constants.
  • A
    Both A and R are true and R is the correct explanation of A
  • B
    Both A and R are true but R is not the correct explanation of A
  • C
    A is true but R is false
  • A is false but R is true
Answer
Correct option: D.
A is false but R is true
D
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MCQ 441 Mark
Assertion (A): Seven times a number is 42. This statement in the form of an equation is 7x = 42.
Reason (R): Standard form for linear equation in one variable is ax + b = 0. where x is variable and a, b are arbitrary constants.
  • A
    Both A and R are true and R is the correct explanation of A
  • Both A and R are true but R is not the correct explanation of A
  • C
    A is true but R is false
  • D
    A is false but R is true
Answer
Correct option: B.
Both A and R are true but R is not the correct explanation of A
B
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MCQ 451 Mark
Assertion (A): In a two digit number, the unit’s digit is x and the ten’s digit is y. Then, the number is 10y + x.
Reason (R): Numbers which follow each other in order, without gaps, from smallest to largest. 12, 13, 14 and 15 are consecutive numbers.
  • A
    Both A and R are true and R is the correct explanation of A
  • Both A and R are true but R is not the correct explanation of A
  • C
    A is true but R is false
  • D
    A is false but R is true
Answer
Correct option: B.
Both A and R are true but R is not the correct explanation of A
B
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MCQ 461 Mark
Assertion (A): if 9 is added to a number, it becomes 25. This statement in the form of an equation is x + 9 = 25.
Reason (R): Standard form for linear equation in one variable is ax + b = 0. where x is variable and a, b are arbitrary constants.
  • A
    Both A and R are true and R is the correct explanation of A
  • Both A and R are true but R is not the correct explanation of A
  • C
    A is true but R is false
  • D
    A is false but R is true
Answer
Correct option: B.
Both A and R are true but R is not the correct explanation of A
B
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MCQ 471 Mark
Assertion (A): If 15 is subtracted from a number, it becomes -5. This statement in the form of an equation is x - 15 = 5
Reason (R): Standard form for linear equation in one variable is ax + b = 0. where x is variable and a, b are arbitrary constants.
  • A
    Both A and R are true and R is the correct explanation of A
  • B
    Both A and R are true but R is not the correct explanation of A
  • C
    A is true but R is false
  • A is false but R is true
Answer
Correct option: D.
A is false but R is true
D
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MCQ 481 Mark
Assertion (A): A number when divided by 5 gives 6. This statement in the form of an equation is 5x = 6.
Reason (R): Standard form for linear equation in one variable is ax + b = 0. where x is variable and a, b are arbitrary constants.
  • A
    Both A and R are true and R is the correct explanation of A
  • B
    Both A and R are true but R is not the correct explanation of A
  • C
    A is true but R is false
  • A is false but R is true
Answer
Correct option: D.
A is false but R is true
D
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MCQ 491 Mark
Assertion (A):  x is an odd number. The largest odd number preceding x is x - 2.
Reason (R): Numbers which follow each other in order, without gaps, from smallest to largest. 12, 13, 14 and 15 are consecutive numbers.
  • A
    Both A and R are true and R is the correct explanation of A
  • Both A and R are true but R is not the correct explanation of A
  • C
    A is true but R is false
  • D
    A is false but R is true
Answer
Correct option: B.
Both A and R are true but R is not the correct explanation of A
B
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MCQ 501 Mark
Assertion (A):  The root of the equation z + 4 = -8 is -32
Reason (R): the linear equation involves only one unknown, it is called “univariate”. The quadratic equation contains only powers of x that are non-negative.
  • A
    Both A and R are true and R is the correct explanation of A
  • B
    Both A and R are true but R is not the correct explanation of A
  • A is true but R is false
  • D
    A is false but R is true
Answer
Correct option: C.
A is true but R is false
C
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